Some Fractional Dynamic Inequalities of Hardy’s Type via Conformable Calculus

In this article, we prove some new fractional dynamic inequalities on time scales via conformable calculus. By using chain rule and Hölder’s inequality on timescales we establish the main results. When α = 1 we obtain some well-known time-scale inequalities due to Hardy, Copson, Bennett and Leindler...

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Bibliographic Details
Published in:Mathematics (Basel) 2020-03, Vol.8 (3), p.434
Main Authors: Saker, Samir, Kenawy, Mohammed, AlNemer, Ghada, Zakarya, Mohammed
Format: Article
Language:English
Subjects:
conformable fractional calculus
fractional bennett’s inequality
fractional copson’s inequality
fractional hardy’s inequality
fractional hölder inequality
fractional leindler’s inequality
timescales
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Summary:In this article, we prove some new fractional dynamic inequalities on time scales via conformable calculus. By using chain rule and Hölder’s inequality on timescales we establish the main results. When α = 1 we obtain some well-known time-scale inequalities due to Hardy, Copson, Bennett and Leindler inequalities.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8030434